Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
ON DEGREE OF NON-CONVEXITY OF FUZZY SETS
Masamichi Kon
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2014 年 76 巻 3 号 p. 417-425

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In the present paper, the convexity of fuzzy sets is generalized based on conjunctive aggregation functions, and the degree of the non-convexity of fuzzy sets is considered as an application of the generalized convexity. Then, the properties of the generalized convexity of fuzzy sets, and the properties of the degree of the nonconvexity of fuzzy sets with respect to operations are investigated.

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© 2014 International Society for Mathematical Sciences
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